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Results tagged with digits
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user 5712
11
votes
Is the sum of digits of $3^{1000}$ divisible by $7$?
Middle digits of the numbers $3^n$ are unpredictable. At least it is too hard for current techniques to say anything about them. It means that the their sum is unpredictable as well. … If we take binary digits of $3^n$ then we immediately get generalization
of $(3/2)^n$-problem which is out of reach today. …
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